Download Geometry – Laundry List of Topics, Lesson Ideas, and VERY Rough

Geometry – Laundry List of Topics, Lesson Ideas, and VERY Rough Pacing
Ch. 1: Basics of Geometry
Day 0: Online textbook scavenger hunt
Plus, review of basic terms: http://math.rice.edu/~lanius/Geom/pol.html
Day 1: Why do we name objects the way we do?
http://blog.mrmeyer.com/?p=4132
“Which one of these doesn’t belong?” Worksheet for collinear, coplanar.
Day 2 – 3: Finding angles and diagonal lengths
Using tangrams to motivate
http://blog.mrmeyer.com/?p=217
Day 4: What is the distance formula, and what’s it got to do with Pythagoras?
Use maps as motivation.
Road trip??
Day 5 – 7: Irregular area / perimeter architecture project!
Day 8: Segment Addition Lab
(Plus Angle Addition Lab?)
Day 9 – 10: Mixed algebra practice
Segment and Angle Addition algebra
Conplementary / Supplementary angles algebra
Day 11: Finding the average of 2 points.
Folding, estimating, and lastly developing the formula.
Can you find the average of the points of this rectangle?
Day 12: What type of transformation is this?
Powerpoint photo gallery
Predicting the shape and cut of a snowflake using reflection properties
Day 13 – 14: How do we describe a translation and a dilation?
Paired activity – describe this shape’s location to your friend.
with no coordinate, then with coordinate.
Worksheet practice of translations and dilations
Flashcard sorting activity
Textbook Break: Tessellations
Day 1: What is a tessellation? What type of shapes would tessellate?
Days 2 – 4: Making my own tessellations project
Ch. 2: Geometric Conjectures
Day 1: Which of these statements must be correct?
Read contextual stories and determine truth value of given conjectures.
Look at a diagram and determine truth value of given conjectures.
(Honors only) http://math.rice.edu/~lanius//Lessons/Patterns/rect.html
Day 2: What are deductive and inductive reasoning?
Come up with inductive conjectures using examples.
Introduce polygon angle sum as an example conjecture.
Day 3: What is a conditional statement? What is a converse statement?
Day 4: What is a contrapositive statement? Why do we care?
Day 5: What is a counterexample?
Looking at data to disprove statements. Can you?
Day 6: Is this deductive or inductive reasoning? Is it valid or flawed?
Day 7 – 10: Debate project using only logic-speak!
Prepare by writing down arguments on both sides, using logic-speak.
Ch. 3: Relationship between Lines
Day 1: Multiple-Representation Project (Savings race!)
Day 2: How can you tell which of these is growing/changing faster? Prove it.
Day 3: Slope formula song-and-dance
Plus skaterboi sketch
Day 4 – 6: Getting a hold on linear equations
With word problems!
Day 7: Geogebra lab on relationships between lines
Day 8: Spatial visualization break
Building a cube and learning skew, parallel, perpendicular
Day 9: Angles inside Parallel Lines
Patty-paper activity
Day 10: Coloring angles “just to be sure”
Day 11 – 12: Finding angles inside parallel lines using algebra
Day 13 – 14: Prove this polygon is a …
Day 15: Mystery Room project
Textbook Break:
Project 1: Swan Origami
Project 2: Sailing Project
Project 3: Hole-in-One
http://www.district87.org/staff/powelln/Golf/MiniGolf.PDF
Project 4: (Honors only) String art??
http://www.district87.org/staff/powelln/stringart/StringArt_TeacherNotes.
htm
Measurement Unit:
Day 1: “What can we measure?” Intro
with estimation discussion at the beginning.
Day 2: Unit conversion practice
Within the metrics unit.
An ant carrying a leaf is equivalent to a human carrying… ?
Day 3: How do we measure the height of a balcony directly? Competition.
Day 4: How do we measure the height of something indirectly?
Day 5: Unit conversion practice
Using a ratio to convert between “incompatible” units.
Day 6: How do we measure the volume of a container?
Day 7: Predicting how high the water will rise – water lab.
Day 8: Volume conversion practice.
Using cm3 and liter as base units.
Day 9: How many water bottles will it take to fill up this large trash can?
Day 10 – 11: How do we measure the volume of an irregular object? How do we
measure density?
Plus weighing an elephant reading.
Day 12: Revisiting estimations – How much wallpaper will we need? How many
tiles for this floor? How many kilograms is your shoe?
Day 13: How many cups does it take to fill this bucket? Competition.
Ch. 8: Trigonometry
Day 1: Similar triangles and comparable lengths
Day 2 – 4: Sine, cosine, tangent uses
Day 5 – 7: Trajectory projects??
Day 8: Rollercoaster project
Day 9: (Honors only) Chord length product project
Day 10: (Honors only) Laws of Sine and Cosine
Ch. 5: Brief Overview of a Triangle + Proofs
Day 1 – 3: Pizzeria project
Day 4: How do we find the perpendicular bisector using algebra?
Day 5: How do we find the circumcenter using algebra?
Day 6: Best spot for hospital?
Day 7: Balance this triangle! Competition.
Day 8: Where is that point located algebraically?
Day 9: What’s a midsegment?
Days 10 – 20: Proofs! (start with some simple triangle proofs, move into
midsegment algebra proof, end with circle and parity proofs)
Day 21: Can I build any triangle?
Day 22: Revisiting Pythagorus.
(Honors only) http://math.rice.edu/~lanius/Geom/concircl.html
Day 23: Spiral of Theodorus and Irrational Numbers
http://math.rice.edu/~lanius/Geom/irrat.html
Textbook Break:
Project 1: Build a perfect rectangle.
Project 2: Sierpinski Triangles + other fractals
http://math.rice.edu/~lanius/frac/pacoima.html
(Honors only)
http://www.district87.org/staff/powelln/Geometry/Projects/FractalFrenzy/
Default.htm
Project 3: Scaling project
Project 4: A Bug’s Life project, incorporating rectangular areas
http://www.district87.org/staff/powelln/bugweb/index.html
Ch. 10: 3-D unit + some miscellanies
Day 1: Flatland and dimensions
Day 2 – 4: 3-D visualization project!
Day 5: Extending Pythagorean formula to 3-D
Day 6 – 10: Simple surface areas and volumes
Volume water lab??
Day 11 – 12: Composite volumes
Textbook Break: If time allows…
Project 1: Design with circles project
http://mathforum.org/alejandre/circles.html
Project 2: (Honors Only) Structure project
http://www.district87.org/staff/powelln/structures/default.html
Project 3: (Honors only) Container project
http://www.district87.org/staff/powelln/Containers/index.html